偏振敏感光学相干断层扫描中正交各向异性介质的逆散射问题

The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography.

作者信息

Elbau Peter, Mindrinos Leonidas, Scherzer Otmar

机构信息

1Computational Science Center, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.

2Johann Radon Institute for Computational and Applied Mathematics (RICAM), Altenbergerstraße 69, 4040 Linz, Austria.

出版信息

GEM. 2018;9(1):145-165. doi: 10.1007/s13137-017-0102-y. Epub 2017 Dec 27.

DOI:10.1007/s13137-017-0102-y

PMID:29606983

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5869888/

Abstract

In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell's equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.

摘要

据我们所知，本文首次提供了一种用于对各向异性、正交异性介质进行偏振敏感光学相干断层成像的数学模型。成像问题被表述为一个三维逆散射问题，即利用麦克斯韦方程组重建介质的电极化率。我们的重建方法基于电场的二阶玻恩近似。